Dynamic and Complex Systems - F

Ano letivo: 2018-2019
Specification sheet

Specific details
course codecycle os studiesacademic semestercredits ECTSteaching language

Learning goals
Main importance: A- Ability to solve problems; B- General culture in Physics; C- Mathematical skills to solve problems;

Secondary: D- Ability to search and use bibliography; E- Theoretical understanding of physical phenomena; F- Depth general knowledge in Physics.

Generic skills: Competence in oral and written communication; Computer skills pertaining to the scope of the study; Competence to solve problems; Competence in critical thinking; Competence in independent learning; Adaptability to new situations; creativity; Initiative and entrepreneurial spirit; Quality concerns; Competence to apply in practice the theoretical knowledge.
1- Oscillators harmonic, damped and forced; periodic and chaotic attractors. 2- Point attractors in autonomous systems. 3- Cycles limit in autonomous systems. 4- Periodic attractors in forced oscillators; the Poincaré map. 5- Chaotic attractors in forced oscillators. 6- Stability and bifurcations; Lyapunov stability. 7- Chaotic behavior of uni and two-dimensional maps; the Hénon map. 8- The Lorenz system. 9- Complexity and emergence. 10- Fractals. 11- Applications to physics.
Classical Mechanics I
Generic skills to reach
. Computer Skills for the scope of the study;
. Competence to solve problems;
. Competence in autonomous learning;
. Adaptability to new situations;
. Competence in applying theoretical knowledge in practice;
. Competence in oral and written communication;
. Critical thinking;
. Creativity;
. Initiative and entrepreneurial spirit;
. Quality concerns;
(by decreasing order of importance)
Teaching hours per semester
theory-practical classes15
total of teaching hours60

Sseminar or study visit-- %
Problem solving100 %
Synthesis work thesis-- %
Project-- %
Research work-- %
Mini tests-- %
Assessment Tests-- %
Exam100 %
assessment implementation in 20182019
Assessment Problems solving and mini-tests : 100.0%

Bibliography of reference
Steven H. Strogatz, (1994) Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, and Engineering, Perseus Book.

JOSÉ, J. V. and SALETAN, E. J. (1998). Classical Dynamics: a contemporary approach. Cambridge: Cambridge University Press.

THOMPSON, J. M. T.; and STEWART, H. B. (2002). Nonlinear Dynamics and Chaos, Chichester: John Wiley & Sons.
Teaching method
1- Lectures with exposure of concepts and fundamental theories, and discussion of practical applications of these concepts.
2- Problem solving classes with typical examples of the subjects under study.
Resources used
Laboratório de Computação Avançada